Spring 2011
Math 531
Computer Problem 2 - Fourier Series
Consider the function f (x) = x2 . Use MatLab to create the computer graphics to show the
following:
1. Find the Fourier sine series, including the Fourier coecients, for f (x) for x [0, 3].
2. Grap
Spring 2011
Math 531
Computer Problem 3 - Fourier Integral
cfw_
Consider the function
f (x) =
0,
ex ,
x < 0,
x > 0.
The Fourier integral formula is given by
f (x) =
[A( ) cos(x) + B ( ) sin(x)]d
0
1. Find the Fourier integral coecients A( ) and B ( ). Giv
Spring 2011
Math 531
Computer Problem
1. a. Consider a one-dimensional rod that is insulated along its edges. Assume that it has
a length of 10 cm. The rod is initially placed so that one end is 0 C and the other end is
100 C. It is allowed to come to a s
Spring 2011
Math 531 Take-Home Final
I,
Due May 18, 2011 by 5 PM
(your name), pledge that this exam is completely my
own work, and that I did not take, borrow or steal work from any other person, and that I did
not allow any other person to use, have, bor
Spring 2011
Math 531
Take-Home Exam 1
I,
(your name), pledge that this exam is completely my
own work, and that I did not take, borrow or steal work from any other person, and that I did
not allow any other person to use, have, borrow or steal portions of